8414190900 has 126 divisors (see below), whose sum is σ = 27375905382. Its totient is φ = 2243764800.

The previous prime is 8414190899. The next prime is 8414190949. The reversal of 8414190900 is 90914148.

It can be written as a sum of positive squares in 3 ways, for example, as 407878416 + 8006312484 = 20196^2 + 89478^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 15190 + ... + 130610.

Almost surely, 2^8414190900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8414190900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13687952691).

8414190900 is an abundant number, since it is smaller than the sum of its proper divisors (18961714482).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8414190900 is a wasteful number, since it uses less digits than its factorization.

8414190900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115453 (or 115431 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 8414190900 is about 91728.8989359406. The cubic root of 8414190900 is about 2033.9367980988.

The spelling of 8414190900 in words is "eight billion, four hundred fourteen million, one hundred ninety thousand, nine hundred".